Spherical inversion for a small $K$-type on the split real Lie group of type $G_2$

Abstract

We give an explicit formula for the Harish-Chandra $c$-function for a small $K$-type on a split real Lie group of type $G_2$. As an application we give an explicit formula for spherical inversion for this small $K$-type.

14 pages, 1 figure

References in corpus (2)

• Lectures on Dunkl operators
• Representations with Small $K$ Types